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230114034 = 23423151409
BaseRepresentation
bin11011011011101…
…00001011110010
3121001000000010000
431231310023302
5432402122114
634500050430
75462636253
oct1555641362
9531000100
10230114034
11108991097
1265093a16
133889c167
14227c0b2a
1515306e09
hexdb742f2

230114034 has 80 divisors (see below), whose sum is σ = 542931840. Its totient is φ = 72705600.

The previous prime is 230114033. The next prime is 230114069. The reversal of 230114034 is 430411032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230113998 and 230114016.

It is not an unprimeable number, because it can be changed into a prime (230114033) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 562422 + ... + 562830.

It is an arithmetic number, because the mean of its divisors is an integer number (6786648).

Almost surely, 2230114034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230114034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271465920).

230114034 is an abundant number, since it is smaller than the sum of its proper divisors (312817806).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230114034 is a wasteful number, since it uses less digits than its factorization.

230114034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 230114034 is about 15169.5100118626. The cubic root of 230114034 is about 612.7938084513.

Adding to 230114034 its reverse (430411032), we get a palindrome (660525066).

The spelling of 230114034 in words is "two hundred thirty million, one hundred fourteen thousand, thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 151 162 207 302 409 414 453 621 818 906 1227 1242 1359 1863 2454 2718 3473 3681 3726 4077 6946 7362 8154 9407 10419 11043 12231 18814 20838 22086 24462 28221 31257 33129 56442 61759 62514 66258 84663 93771 123518 169326 185277 187542 253989 281313 370554 507978 555831 562626 761967 1111662 1420457 1523934 1667493 2840914 3334986 4261371 5002479 8522742 10004958 12784113 25568226 38352339 76704678 115057017 230114034